Answers
Answer:
11) 6
12) 3
Step-by-step explanation:
2 log 2 8
so 2(log2 8)
Base 2 so 2^x=8 so 3.
2*3 is 6.
log a a cubed
base a so a^ x = a^3
x=3
so 3.
Hope this helps ;D
Answer:
6 and 3
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] ⇔ n log x
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
[tex]log_{a}[/tex] a = 1
(11)
let 2 [tex]log_{2}[/tex]8 = n , then
[tex]log_{2}[/tex] 8² = n
[tex]log_{2}[/tex] 64 = n
[tex]log_{2}[/tex] [tex]2^{6}[/tex] = n
[tex]2^{6}[/tex] = [tex]2^{n}[/tex]
Since bases on both sides are equal, equate the exponents, that is
n = 6
(12)
[tex]log_{a}[/tex] a³
= 3 [tex]log_{a}[/tex] a
= 3 × 1
= 3
Related Questions
The information is in the picture PLEASE HELP ME
Answers
Answer:
The answer is C
Step-by-step explanation:
n^3+4n = 4n+5
n^3+4n + 4n+5
n^3+8n+5
Simplify each expression by combining like terms.
1) 11x + 9x
2) 8y - 7y
3) 5t - 7t
4) -n + 4n
5) 5w^2 + 12w^2
Answers
2.) 1y
3.)-2t
4.)3n
5.)17w^2
pleaseee helpppp!!!!
Answers
Answer:
Substitute the given value into the function and evaluate.
2 x 3 + 7 x 2 − 4 x − 15
Step-by-Step Process
You are given an expression for the volume of the rectangular prism. Determine an expression for the missing dimension.
V equal 4 x to the power of 3 plus 5 x to the power of 2 minus 32 x minus 33 and the dimensions are ( x + 1 ) and ( x + 3 ) .
Answers
Given:
The volume of the rectangular prism is
[tex]V=4x^3+5x^2-32x-33[/tex]
Two dimensions are (x+1) and (x+3).
To find:
The missing dimension.
Solution:
We know that, volume of a rectangular prism is
[tex]V=length\times breadth\times height[/tex]
It means, volume of a rectangular prism is the product of all dimensions.
We have,
[tex]V=4x^3+5x^2-32x-33[/tex]
Splitting the middle terms, we get
[tex]V=4x^3+4x^2+x^2+x-33x-33[/tex]
[tex]V=4x^2(x+1)+x(x+1)-33(x+1)[/tex]
[tex]V=(x+1)(4x^2+x-33)[/tex]
Splitting the middle term, we get
[tex]V=(x+1)(4x^2+12x-11x-33)[/tex]
[tex]V=(x+1)(4x(x+3)-11(x+3))[/tex]
[tex]V=(x+1)(x+3)(4x-11)[/tex]
So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).
Therefore, the missing dimension is (4x-11).
Answer:
the missing dimension is (4x-11).A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph.
What is the cost of a 3-mile ride?
$1
$10
$12
$14
Answers
Answer:
The answer is 14
Step-by-step explanation:
The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.
What is the inequality for the graph [-7,3], [0,-4]
Answers
Answer:
[45]
Is the answer................
what is the value of x
1. 124
2. 62
3. 112
4. 68
explain why the answer is correct
Answers
Answer:
3.112 because 56+56=112Answer:
The answer is 4. 68
Step-by-step explanation:
since equal sides of triangle,it has equal angle at the base of triangle.So, the two angles of triangle at base is 56. The sum of angles in a triangle is 180.Therefore,56+56+x=180
x=180-112
x=68
Please Rate 1-10, Then also add what your favorite one is.
Answers
Answer:
first one
Step-by-step explanation:
first one 10/10
2nd ome 9.6/10
I like the first one better
Answer:
2 one is my favorite
Step-by-step explanation:
1 , 9
2, 10
3, 8
4, 5
5, 1
Using f(x) =x^2/3-2, determine if each statement below is true or false. Show the work that justifies your answer. The statements are A. F(6)=f(-6) B. F(6)=2 • f(3)
Answers
Answer:
[tex]f(6) = f(-6)[/tex] --- True
[tex]f(6)=2 * f(3)[/tex] --- False
Step-by-step explanation:
Given
[tex]f(x) = \frac{x^2}{3} - 2[/tex]
Solving (a): f(6) = f(-6)
First, we solve for f(6) by substituting 6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]
[tex]f(6) = \frac{6^2}{3} - 2[/tex]
[tex]f(6) = \frac{36}{3} - 2[/tex]
[tex]f(6) = 12 - 2[/tex]
[tex]f(6) = 10[/tex]
Next, we solve for f(-6) by substituting -6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]
[tex]f(-6) = \frac{-6^2}{3} - 2[/tex]
[tex]f(-6) = \frac{36}{3} - 2[/tex]
[tex]f(-6) = 12 - 2[/tex]
[tex]f(-6) = 10[/tex]
We have that:
[tex]f(6) = f(-6) = 10[/tex]
Hence, the statement is true
Solving (b): [tex]f(6)=2 * f(3)[/tex]
We have that:
[tex]f(6) = 10[/tex]
Next, we solve for f(3) by substituting 3 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]
[tex]f(3) = \frac{3^2}{3} - 2[/tex]
[tex]f(3) = \frac{9}{3} - 2[/tex]
[tex]f(3) = 3 - 2[/tex]
[tex]f(3) = 1[/tex]
[tex]2 * f(3) = 2 * 1[/tex]
[tex]2 * f(3) = 2[/tex]
So:
[tex]f(6)=2 * f(3)[/tex]
[tex]10 \neq 2[/tex]
Hence, the statement is false
I need help ion fully know what to do
Answers
Jack bought a new boat for $36,000. The value of the boat continuously
depreciates at a rate of 15%. Find the value of the boat after 5 years.
a. $17,005
b. $7,621
c. $7,240
d. $4,140
Answers
Answer:
$15973.4
Step-by-step explanation:
The formula for depreciation is:
a(1 - r)^t
a = Initial value =$36,000
r = depreciation rate = 15% = 0.15
t = time in years = 5 years
The depreciation value = $36000 × (1 - 0.15)⁵
= 36000(0.85)⁵
= $15973.39125
Approximately = $15973.4
The value of the boat is $15,973 after 5 years.
Given that,
New boat cost is (A) $36,000.Depreciation rate is (r) 15%.We need to find the value of boat after (t) 5 years.According to the scenario, computation of the given data are as follows,
Value of boat = [tex]A (1 - r )^{t}[/tex]
By putting the value, we get
Value = [tex]36,000(1 - 0.15)^{5}[/tex]
= [tex]36,000(0.85)^{5}[/tex]
= 36,000 [tex]\times[/tex] 0.4437053125
= $15,973.4 or $15,973
Learn more: https://brainly.com/question/4557688
i'll mark you has brainliest
Answers
Answer:
x-1=y
Step-by-step explanation:
Is this what you need?
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
If 2a = 3b, and 4a - 7 = 2b + 9. what is the value of a?
Answers
Answer:
1.5
Step-by-step explanation:
Multiply out 3(2x-7)
Answers
Answer:
6x-21
Step-by-step explanation:
3*2x = 6x
3*-7 = -21
6x-21
Use the Distributive Property to Expand the Expression
1) 8 ( b + 5 )
Answers
Answer:
8b + 40
Step-by-step explanation:
8( b + 5 )
8×b + 8×5
8b+40
Tori is sending a birthday gift to her friend out of state and wants to know how much brown paper she will need to
cover the box.
8 in
10 in.
14 in
Which statement is true about the amount of paper Tori will need to cover the entire box?
O Covering the entire box is the surface area, which is 664 in.?.
O Covering the entire box is the surface area, which is 1,120 in.?
O Covering the entire box is the volume, which is 664 in.3.
O Covering the entire box is the volume, which is 1,120 in.?.
Answers
Answer:
A. Covering the entire box is the surface area, which is 664 in.
Step-by-step explanation:
I did the test myself. Have a great day/night! Good luck with the rest of your test! <3
Factor the GCF: −14y2 + 12y − 22
Answers
Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).
Step-by-step explanation:
Let f(x) = 7x - 2, g(x) = -x + 4, and h(x) = -4x + 1.
Perform the indicated operation.
1. f(x) + g(x)
2. f(x) + h(x)
3. h(x) + g(x)
4. f(x) - g(x)
5. h(x) - f(x)
6. g(x) - h(x)
Answers
Explanation:
1.
f(x) + g(x)
= (7x - 2) + (-x + 4)
= 7x - 2 - x + 4
= 6x + 2
2.
f(x) + h(x)
= (7x - 2) + (-4x + 1)
= 7x - 2 - 4x + 1
= 3x - 1
3.
h(x) + g(x)
= (-4x + 1) + (-x + 4)
= -4x + 1 - x + 4
= -5x + 5
4.
f(x) - g(x)
= (7x - 2) - (-x + 4)
= 7x - 2 + x - 4
= 8x - 6
5.
h(x) - f(x)
= (-4x + 1) - (7x - 2)
= -4x + 1 - 7x + 2
= -11x + 3
6.
g(x) - h(x)
= (-x + 4) - (-4x + 1)
= -x + 4 + 4x - 1
= 3x + 3
Allie created a garden in the shape a right triangle. Which set of measurements could represent the lengths of the sides of her garden
A. 1in, 5in, and 6in
B. 3ft, 3ft, and 4ft
C. 9cm, 9cm, and 9cm
D. 6m, 8m, and 10m
Answers
Answer:
D
Step-by-step explanation:
[tex] {c}= \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]c = \sqrt{ {6}^{2} + {8}^{2} } [/tex]
[tex]c = \sqrt{36 + 64} [/tex]
[tex]c = \sqrt{100 } [/tex]
[tex]c = 10[/tex]
Pythagorean theorem
At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students was taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college?
Answers
Answer:
1932 credit hours
Step-by-step explanation:
Create a proportion
credits credits
---------- = ----------
students students
14 ?
---- = -----
1 138
14 times 138
1932 credit hours
Use the meaning of cube roots to show how to find an exact solution to the equation Ya + 2 =
- 2 without using a graph.
Answers
Answer: Coordinate plane, x, negative 2 to 2 by 1, y, negative 10
Step-by-step explanation: don't know just trying to help
Which expressions give the monthly pay of an employee with 33 hours of training
Answers
Answer:
A-33(PAY) OR 33(P)
B-33 x pay or 33 x p
C-hours(33)or H(33)
D-pay(33) or p(33)
its D is correct hope this helps
Please do quick
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $59.82
Answers
Answer:
$12
Explanation: 60 x .2= 12 + 60= $72
raised the points, please please help me out
Answers
Answer:
Where is the question?
the question is on then sheet
Answers
Answer:
6[tex]m^{2}[/tex][tex]n^{2}[/tex]-4mn+6
Step-by-step explanation:
PLEASE MARK BRAINLIEST I ONLY NEED 1 MORE!!!!!!!!![tex] = (11 {m}^{2} {n}^{2} + 2mn - 11) - (5 {m}^{2} {n}^{2} - 6mn + 17)[/tex]
[tex] = 11 {m}^{2} {n}^{2} + 2mn - 11 - 5 {m}^{2} {n}^{2} + 6mn - 17[/tex]
[tex] = (11 {m}^{2} {n}^{2} - 5 {{m}^{2} } {n}^{2} ) + (2mn + 6mn) + ( - 11 - 17)[/tex]
[tex] = 6 {m}^{2} {n}^{2} + 8mn - 28[/tex]
The other person is wrong
I can say that for sure.
Kaniyah is making ribbons do school spirit day. Her roll of ribbon is 32 ft. long. For each individual ribbon, she needs 0.64 ft. How many ribbons can she make from her roll?
Answers
Answer 50 is the answer have a good day
Answer:
50 ribbons
Step-by-step explanation:
To find how many ribbons she can make, divide 32 by 0.64:
32/0.64
= 50
So, she can make 50 ribbons from her roll
A bicycle has a listed price of $811.98 before tax. If the sales tax rate is 7.5%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
Step-by-step explanation:
811.98*7.5%= 60.898
811.98+60.898= 872.787 round to $872.79
Answer:
$872.88
Step-by-step explanation:
811.98 x 7.5%= 811.98 x 0.075
811.98 x 0.075= 60.90
811.98+60.90= 872.88
A negative multiplied/divided by a negative (same signs) equals a _
positive
negative
Answers
Answer:
When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.
Step-by-step explanation:
If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?
Answers
Answer:
Please read the explanied answer below.
Step-by-step explanation:
As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]We also know that a regular polygon has all the angles equal and all sides have the same length.
As we know:
Exterior angle = 360° ÷ No. of sidesWhen the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.
For example:
In terms of a triangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 3 = 120°
In terms of a rectangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 4 = 90°
and in the same way
360° ÷ 5 = 72 °
360° ÷ 6 = 60 °
360° ÷ 8 = 45 °
360° ÷ 9 = 40°
and so on.
I hope it may have solved your query.